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Finding the Fourth Proportional to 52,683, 72,702.54 and 30,327

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Solution

The fourth proportional to 52,683, 72,702.54 and 30,327 is: 41,851.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,683 : 72,702.54 = 30,327 : x
  2. Step 2: Convert to fraction form
    52,683/72,702.54 = 30,327/x
  3. Step 3: Cross multiply
    52,683x = 72,702.54 × 30,327
  4. Step 4: Simplify right side
    52,683x = 2,204,849,930.58
  5. Step 5: Solve for x
    x = 2,204,849,930.58/52,683
  6. Step 6: Final answer
    x = 41,851.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.